189751431168 has 416 divisors, whose sum is σ = 615936988800. Its totient is φ = 57369821184.

The previous prime is 189751431091. The next prime is 189751431203. The reversal of 189751431168 is 861134157981.

189751431168 is a `hidden beast` number, since 1 + 8 + 9 + 7 + 514 + 3 + 116 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84822946 + ... + 84825182.

Almost surely, 2^189751431168 is an apocalyptic number.

189751431168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189751431168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307968494400).

189751431168 is an abundant number, since it is smaller than the sum of its proper divisors (426185557632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

189751431168 is a wasteful number, since it uses less digits than its factorization.

189751431168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342 (or 2314 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The spelling of 189751431168 in words is "one hundred eighty-nine billion, seven hundred fifty-one million, four hundred thirty-one thousand, one hundred sixty-eight".